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Finding the Fourth Proportional to 263.12, 394.72 and 165.71

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Solution

The fourth proportional to 263.12, 394.72 and 165.71 is: 248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.12 : 394.72 = 165.71 : x
  2. Step 2: Convert to fraction form
    263.12/394.72 = 165.71/x
  3. Step 3: Cross multiply
    263.12x = 394.72 × 165.71
  4. Step 4: Simplify right side
    263.12x = 65,409.62
  5. Step 5: Solve for x
    x = 65,409.62/263.12
  6. Step 6: Final answer
    x = 248.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.